Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems

S. Sallam; M. Naim Anwar

doi:10.1080/00207160008804924

Stabilized cubic C¹-spline collocation method for solving first-order ordinary initial value problems

S. Sallam, M. Naim Anwar

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

This study focuses on the construction of a 'variable' one-parameter cubic C¹-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

Original language	English
Pages (from-to)	87-96
Number of pages	10
Journal	International Journal of Computer Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1080/00207160008804924
Publication status	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160008804924

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abstract = "This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.",

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AB - This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

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Stabilized cubic C¹-spline collocation method for solving first-order ordinary initial value problems

Abstract

ASJC Scopus subject areas

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